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The Theory of Gödel
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
The Theory of Gödel/ by Carlo Cellucci.
作者:
Cellucci, Carlo.
面頁冊數:
IX, 159 p.online resource. :
Contained By:
Springer Nature eBook
標題:
History of Mathematical Sciences. -
電子資源:
https://doi.org/10.1007/978-3-031-13417-3
ISBN:
9783031134173
The Theory of Gödel
Cellucci, Carlo.
The Theory of Gödel
[electronic resource] /by Carlo Cellucci. - 1st ed. 2022. - IX, 159 p.online resource. - Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science, 4702542-8292 ;. - Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science,359.
First-Order Logic -- Completeness -- First-Order Theories -- Primitive Recursive Arithmetic -- Encoding -- Incompleteness -- Other Limitative Results -- Second-Order Logic -- Second-Order Arithmetic -- Appendix.
This book presents Gödel’s incompleteness theorems and the other limitative results which are most significant for the philosophy of mathematics. Results are stated in the form most relevant for use in the philosophy of mathematics. An appendix considers their implications for Hilbert’s Program for the foundations of mathematics. The text is self-contained, all notions being explained in full detail, but of course previous exposure to the very first rudiments of mathematical logic will help. .
ISBN: 9783031134173
Standard No.: 10.1007/978-3-031-13417-3doiSubjects--Topical Terms:
785417
History of Mathematical Sciences.
LC Class. No.: BC1-199
Dewey Class. No.: 160
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